Question

what is the value of x in the equation 8x - 2y = 48, when y = 4?
○ 6
○ 7
○ 14
○ 48

Explanation:

Step1: Substitute y=4 into the equation

Substitute \( y = 4 \) into \( 8x - 2y = 48 \), we get \( 8x - 2\times4 = 48 \).

Step2: Simplify the equation

Calculate \( 2\times4 = 8 \), so the equation becomes \( 8x - 8 = 48 \). Then add 8 to both sides: \( 8x = 48 + 8 = 56 \).

Step3: Solve for x

Divide both sides by 8: \( x=\frac{56}{8}=7 \).

Answer:

7 (corresponding to the option "7")